Profit and Loss [लाभ और हानि]–12

Question: By selling an article for Rs.96, three times the profit is obtained than the profit that would have been obtained by selling it for Rs.84. What is the cost price of the article? [Ans. (d) Rs.78]

(a) Rs. 84   (b) Rs. 80   (c) Rs.72    (d) Rs.78   (e) None of these

Solution:

Detailed Explanation: Given that by selling an article for Rs.96, three times the profit is obtained than the profit that would have been obtained by selling it for Rs.84. It means that the SP of Rs. 96 is 3 more than CP, if SP of RS. 84 is 1 more than CP (let). This means the difference between the selling prices is 2, but given that the difference between the selling prices is Rs. 12 [Rs. 96 – Rs. 84 = Rs. 12]

                                                     So, 2≡ Rs. 12

                                                           1≡? = Rs. 6

Therefore, CP = Rs. 84 – Rs. 6 = Rs. 78 Ans.

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